{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "65dbfae7",
   "metadata": {},
   "source": [
    "## 多重网格法实现的逐步订正 Multigrid SCM\n",
    "\n",
    "$$ J = \\frac{1}{2} (o-b)^2 + penlt$$\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "c27b7826",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Multigrid level: 9\n",
      "Leading dim: 1025\n",
      "Multigrid points:2\n",
      "1.7165730883421961\n",
      "0.0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy import optimize\n",
    "from scipy import signal\n",
    "\n",
    "\n",
    "\n",
    "def f(x,idx):\n",
    "    obs = 2\n",
    "    # Jo\n",
    "    f_res = 0\n",
    "    f_res = f_res + (obs - x[idx])**2\n",
    "#   f_res+= np.dot(huc_array,x)\n",
    "    pnlt = 0\n",
    "    for i in range(1,x.shape[0]-2):\n",
    "        pnlt += (x[i-1] - 2 * x[i] + x[i+1]) **2\n",
    "    f_res += pnlt * penlt\n",
    "    return f_res\n",
    "\n",
    "n_size  = 1025\n",
    "fg  = np.zeros(n_size)\n",
    "obs_loc = 512\n",
    "penlt   = 0.5   # 平滑系数/惩罚系数 stmas_mg.nl中为0.5\n",
    "\n",
    "# Multigird levels? 多重网格层数\n",
    "n_lvl = int(np.log(n_size-1)/np.log(2)) - 1\n",
    "print(f'Multigrid level: {n_lvl}')\n",
    "\n",
    "# Leading dimensions 最大可得网格数\n",
    "mld = 2**(n_lvl+1)+1\n",
    "print(f'Leading dim: {mld}')\n",
    "\n",
    "# Multigrid points 最粗网格\n",
    "# slvl 开始层 stmas_mg.vr中为1\n",
    "slvl = 1 \n",
    "mgd  = min(2**(slvl-1)+1,mld)\n",
    "print(f'Multigrid points:{mgd}')\n",
    "\n",
    "# 三维中最大的层\n",
    "# mlv = max(lvl(1:3))-slvl+1\n",
    "mlv  = n_lvl\n",
    "\n",
    "\n",
    "def interp_grd(now_fg,mld,now_grd,inc=2):\n",
    "    _mgd = int((now_grd-1) / inc) + 1\n",
    "    # print(f'now_grd:{now_grd}')\n",
    "    # print(f'mgd: {_mgd}')\n",
    "    _fg = np.zeros(now_grd)\n",
    "    _fg[0:now_grd:inc] = now_fg[0:_mgd]\n",
    "    _fg  = np.convolve(_fg, np.array([1,0,1]),'same') / 2\n",
    "    return _fg\n",
    "\n",
    "\n",
    "# Down Cycle\n",
    "rsz  = 2\n",
    "domn = 1\n",
    "for k in range(1,mlv+2):\n",
    "    mgd = (mgd-1)*2+1\n",
    "    #print(f'Down Multigrid: {mgd}')\n",
    "    dgd = (n_size-1)/(mgd-1)\n",
    "    #print(f'dgd {dgd}')\n",
    "    # grid2obs\n",
    "    idx = (obs_loc - domn)/ dgd\n",
    "    idx = int(idx+0.5)\n",
    "    #print(f'obs index:{idx}')\n",
    "    fg  = interp_grd(fg,mld,mgd)\n",
    "    res = optimize.minimize(f, fg[0:mgd],args=(idx), method='L-BFGS-B',options={'maxiter': 6})\n",
    "    fg  = res.x\n",
    "    #print(fg[0:mgd])\n",
    "    plt.figure(k, figsize=(12, 6))\n",
    "    plt.title(f'{mgd} grid o-a')\n",
    "    plt.plot(fg[0:mgd])\n",
    "    #plt.savefig(f'{k}.png',dpi=300)\n",
    "    #plt.close()\n",
    "\n",
    "# domn= 1 \n",
    "# dsm = (n_size - domn) / float(5-1)\n",
    "# dsn = (n_size - domn) / float(n_size-1)\n",
    "# print(f'dsm {dsm}')\n",
    "# print(f'dsn {dsn}')\n",
    "# print(f'mgd {mgd}')\n",
    "# for i in range(n_size):\n",
    "#     xyt = domn + i * dsn\n",
    "#     idx,idx2,coef,coef2 = interp_grid2obs(xyt,mgd,dsn)\n",
    "#     fg[i] = fg[idx] * coef + fg[idx2] * coef2\n",
    "    \n",
    "# plt.figure(i+1, figsize=(8, 6))\n",
    "# plt.plot(fg)\n",
    "\n",
    "print(max(fg))\n",
    "print(min(fg))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "cfd4cc6e",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.11"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
